What kind of sequence is this? 5, 8, 13, 21, ... Choices: (A)arithmetic (B)geometric (C)both (D)neither

Check Arithmetic Differences: Check if the sequence is arithmetic by finding the differences between consecutive terms. Calculation: 8 - 5 = 3, 13 - 8 = 5, 21 - 13 = 8. The differences are not constant, so the sequence is not arithmetic.Check Geometric Ratios: Check if the sequence is geometric by finding the ratios between consecutive terms. Calculation: 8 / 5 = 1.6, 13 / 8 = 1.625, 21 / 13 ≈ 1.615. The ratios are not constant, so the sequence is not geometric.

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What kind of sequence is this? $\newline$ $5, 8, 13, 21, \dots$ $\newline$ Choices: $\newline$ (A) arithmetic $\newline$ (B) geometric $\newline$ (C) both $\newline$ (D) neither

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Algebra 2

Classify formulas and sequences

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Q. What kind of sequence is this?

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5, 8, 13, 21, \dots

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Choices:

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(A) arithmetic

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(B) geometric

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\newline

(D) neither

Check Arithmetic Differences: Check if the sequence is arithmetic by finding the differences between consecutive terms. $\newline$ Calculation: $8 - 5 = 3$ , $13 - 8 = 5$ , $21 - 13 = 8$ . $\newline$ The differences are not constant, so the sequence is not arithmetic.
Check Geometric Ratios: Check if the sequence is geometric by finding the ratios between consecutive terms. $\newline$ Calculation: $\frac{8}{5} = 1.6$ , $\frac{13}{8} = 1.625$ , $\frac{21}{13} \approx 1.615$ . $\newline$ The ratios are not constant, so the sequence is not geometric.